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Add 16/49 and 21/27

16/49 + 21/27 is 487/441.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 27 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 49 × 27 = 1323,
    16/49 = 16 × 27/49 × 27 = 432/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    21/27 = 21 × 49/27 × 49 = 1029/1323
  4. Add the two like fractions:
    432/1323 + 1029/1323 = 432 + 1029/1323 = 1461/1323
  5. 1461/1323 simplified gives 487/441
  6. So, 16/49 + 21/27 = 487/441
    In mixed form: 146/441

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